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Finding the Third Proportional to 841,912 and 1,283,880

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Solution

The third proportional to 841,912 and 1,283,880 is: 1,957,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,912 : 1,283,880 = 1,283,880 : x
  2. Step 2: Convert to fraction form
    841,912/1,283,880 = 1,283,880/x
  3. Step 3: Cross multiply
    841,912x = 1,283,880 × 1,283,880
  4. Step 4: Simplify right side
    841,912x = 1,648,347,854,400
  5. Step 5: Solve for x
    x = 1,648,347,854,400/841,912
  6. Step 6: Final answer
    x = 1,957,862.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.